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74703312 = 24324112653
BaseRepresentation
bin1000111001111…
…10000111010000
312012120022200100
410130332013100
5123111001222
611225052400
71564652625
oct434760720
9165508610
1074703312
1139193782
1221027100
1312627558
149cc834c
1568594ac
hex473e1d0

74703312 has 60 divisors (see below), whose sum is σ = 214181604. Its totient is φ = 24291840.

The previous prime is 74703311. The next prime is 74703329. The reversal of 74703312 is 21330747.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 73205136 = 1224^2 + 8556^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74703311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 12230.

Almost surely, 274703312 is an apocalyptic number.

74703312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74703312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107090802).

74703312 is an abundant number, since it is smaller than the sum of its proper divisors (139478292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74703312 is a wasteful number, since it uses less digits than its factorization.

74703312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 74703312 is about 8643.1077744061. The cubic root of 74703312 is about 421.1595170005.

The spelling of 74703312 in words is "seventy-four million, seven hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 12653 25306 37959 50612 75918 101224 113877 151836 202448 227754 303672 455508 518773 607344 911016 1037546 1556319 1822032 2075092 3112638 4150184 4668957 6225276 8300368 9337914 12450552 18675828 24901104 37351656 74703312